Respuesta :

wegnerkolmp2741o

Answer:

b = -10

<M = 90

<N = 50

<O =  40

Step-by-step explanation:

The sum of the angles of a triangle add to 180

<M + <N + <O = 180

90 + -3b+20  + -3b +10 = 180

Combine like terms

120 -6b = 180

Subtract 120 from each side

120-120 -6b = 180-120

-6b = 60

Divide by -6

-6b/-6 = 60/-6

b = -10

<M = 90

<N = -3b +20 = -3(-10) +20 = 30+20 = 50

<O = -3b +10 = -3(-10)+10 = 30+10 = 40

Step-by-step explanation:

[tex]90 + ( - 3b + 10) + ( - 3b + 20) = 180 \\ 90 - 3b + 10 - 3b + 20 = 180 \\ 90 + 10 + 20 - 3b - 3b = 180 \\ 120 - 6b = 180 \\ - 6b = 180 - 120 \\ - 6b = 60 \\ \frac{ - 6b}{ - 6} = \frac{60}{ - 6} \\ b = - 10[/tex]

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